hi A.!
congrats on your new baby and on your commitment to breastfeeding. you're doing a great job and looking for the right kind of advice.
as an exclusive breastfeeder only of two kids and being very passionate about this subject, i would urge you to go to your local La Leche League Intl. meeting for support and ideas. LLLI is THE MOST up to date, accurate, and supportive resource for breastfeeding help and information. some people fear that they have an overly assertive agenda about nursing and other parenting issues, but thier foundational priniciple is "Take What Helps and Leave The REST. " so you don't have to feel pressured.
just google La Leche Leage Intl. and click on 'resources' to find your local meeting.
meanwhile i would say try hard not to worry. my son was not drowsy but my daughter was; they really will wake up when they are hungry. i promise. you don't have to wake them. you will not have to supplement. make sure that you are keeping them close by at night in a co sleeper, nearby crib, or even co sleeping if that works for you; if the baby smells you he will be more likely to get stimulated to nurse.
and cherish this time of good sleeping. it is not likely to last. once new babies get over the initial exhaustion of moving to thier new home (ha ha) and they get into nursing, they will usually not leave you alone! this could be the last opportunity to you get to sleep well for like 2 or 3 years, so enjoy it.
i think from exp. that the best thing for you to do is to hand express some milk now; hold the breast in your hand shaped like a C; thumb over the nipple, hand around and fingers under the breast, then squeeze forward; you could do this in the shower. just squeeze till you feel a little relief from the pressure of milk build up, but not more, because then the breast will think it needs to refill. this way, you will get new milk coming in continuously without getting too much. you don't want to replace the feedings you thought you were supposed to have, you want to just create room in the cycle for the baby to figure out when he wants to nurse.
try to be patient. it often takes 6 weeks, and some times more, to get into any kind of groove with nursing. the MOST important thing to look for is wet and poopy diapers and weight gain. sleepy or not, if your baby is doing these things evenly and continuously, then you're both doing great. also consider the latch. make sure that his latch onto the nipple is good, otherwise he might be working too hard to nurse thus getting tired. if you go to a LLL meeting the moms there will be able to work on that with you.
meanwhile if you really feel worried, RENT, do not buy, a HOSPITAL GRADE breastpump from a surgical supply store. you will have to assemble it but it's not hard to do. these machines are FAR more effective in the early part of the nursing relationship at getting lots of milk out; the personal pumps are for later, like 6 months, when you have a really efficient nursing relationship established. i used to get about 8 to 10 ounces out at each pumping from my MEDELA CLASSIC that i rented.
you could use this machine NOT more than once a day for now; you don't want to get into a cycle of engorgement or over production, that is a real nightmare. because then you just have to wean yourself back off the pump. i had that happen to me and i ended up throwing all the milk away anyway becase my son never got used to a bottle, so after a month of trying to use the pump to help my husband feel included in the feeding process, i was twice as engorged and had a soaking wet shirt all the time, and i ended up being the one to do all the feedings anyway. so i would say, you could do this, but wait a few more days, even a week if you can stand it before trying this. pumps are a slippery slope.
last of all, hang in there. you're obviously smart and committed and you will work this out. we all do it.
lotza lov
J.